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Finding the Fourth Proportional to 207.18, 285.66 and 180.86

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Solution

The fourth proportional to 207.18, 285.66 and 180.86 is: 249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.18 : 285.66 = 180.86 : x
  2. Step 2: Convert to fraction form
    207.18/285.66 = 180.86/x
  3. Step 3: Cross multiply
    207.18x = 285.66 × 180.86
  4. Step 4: Simplify right side
    207.18x = 51,663.04
  5. Step 5: Solve for x
    x = 51,663.04/207.18
  6. Step 6: Final answer
    x = 249.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.